Remark Since infinities occur in the ED approach to quantum fields, just as in the standard approaches, one must introduce schemes to regularize and renormalize the theory to obtain finite results. With the apparatus of quantum theory now in place, one way to do this is to make a unitary transformation to the Heisenberg representation and use the standard methods (see e.g., [1]}). More relevant to us is the work by Symanzik [2]}, where he shows that the Schrödinger representation itself exists as a renormalized QFT to all orders in the perturbation expansion; nothing prevents us at this point from borrowing these standard methods wholesale and applying them to ED. On the other hand, a comprehensive construction of QFT from the ED perspective should, in addition, require an inferential understanding of renormalization. To this end, work has been undertaken by A. Caticha and P. Pessoa [3]} to develop a theory of renormalization group (RG) techniques using entropic methods, but in the context of equilibrium statistical mechanics; the entropic RG methods that would be relevant here are still a work in progress.

